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## Mathematics

### What is the number pattern

31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365-The pattern is every month, starting from January going to December. The numbers are the number of days in each month, and each time the pattern

### Solve this math puzzle, i need help

Mike and James are arguing over who gets the last cookie in the jar, so their dad decides to create a game to settle their dispute. First, Mike flips a coin twice, and each time James calls heads or t

### A man wanted to get into his work building, but he had forgotten his code.

However, he did remember five clues. These are what those clues were: The fifth number plus the third number equals fourteen. The fourth number is one more than the second number. The first numbe

A 25 ft ladder is placed with its foot 7 ft away from a building. If the top of the ladder slips down 4 ft, how many feet will the bottom slide out?-8 ft First triangle: 7 squared + 24 squared = 25 s

### In a certain country ½ of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10

given: 1/2(5) = 3 let 5 = x 1/2(x) = 3 lets change the equation to 1/3x (1/3)(1/2)(x)(2) = 3(1/3)(2) 1/3x = 2 since 10 is a multiple of x by 2, (1/3)(x)(2) = 2(2) therefore, (1/3) of 10 = 4 i hope you

### Calculus involving exponents

1) how do you differentiate this:Ae^uθ 2) how do you integrate this:50(2 - 3e^-t/2) I have made a few attempts but Im not sure if I got it right, any help would be awesome off to youtube to learn mo

### Solve for x where loge(4+3x) = 2

Solve for x where loge(4+3x) = 2? answer is 1/3 (e^2 - 4) i wonder how to do it-ln (4+3x) = 2 e^2 = (4+3x) 3x = e^2 - 4 x = (e^2 -4) /3 answer-raise both sides to a power of e: 4+3x = e^2(e^log

### Y=1/sqrt 2π^e−x2/5 y = 0 x = 0 x = 1

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. (Round your answer to three decimal places.)-do u

### Prove that for any n > 0, lim x^(n)e^(-x)= 0

please help! I dont know which method to use. do I use the ratio test, the integral test, or what?-lim x-->∞ (x^n)/(e^x) = 0 In this case, we wouldnt use the ratio test or the integral test because b

### What do you do to test for a function

Which is not a function? (x - 2)^2 + y^2 = 4 x^2 + 4x + y = 4 x + y = 4 xy = 4 Do you use the Horizontal line rule, or the vertical line rule? When is the appropriate time to use each test? BES

### Factorize 2x^3 + x^2 - 13x + 6

Factorize 2x^3 + x^2 - 13x + 6? the answer is (x+3) (x-2) (2x-1) but how?-Hi, Since this equation could have roots of ±1,±2,±3, or ±6 as well as fractions of ±1/2 or ±3/2, try synthetic division by

### Anybody solve this math puzzle, thanks

A gambler goes to bet. The dealer has 3 dice, which are fair, meaning that the chance that each face shows up is exactly 1/6. The dealer says: You can choose your bet on a number, any number from 1

### How can you add eight 8's to get the number 1,000? (only use addition)

The key to this math riddle is realizing that the one place must be zero. 888 +88 +8 +8 +8 =1,000-8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+8+......et… till you get to 992 then add one more eight and you have 1,

### A problem with pearls, solve this

Im a very rich man, so Ive decided to give you some of my fortune. Do you see this bag? I have 5001 pearls inside it. 2501 of them are white, and 2500 of them are black. No, I am not racist. Ill let y

### Can you solve this Amazing poem ( number theory from Ramanujan )

Show when x = ∞, then [(x+a-b)!(8x+2b)!(9x+a+b )!] / [(3x+a-c )!(3x+a-b+c)!(12x+3b)!] = √(2/3) explain please ?-X will always equal infinity. It means that no matter what you choose to be the variab
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